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Abstract
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We prove the
-convergence
of a pantographic microstructured sheet with inextensible fibers to a 2D generalized continuum
model. Large deformations considered as geometrical nonlinearities are taken into account, and
the
-convergence
argument is developed in terms of convergence of measure functionals. We
also prove a relative compactness property for the sequence of discrete energy
functionals.
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Keywords
$\Gamma$-convergence, nonlinear elasticity, generalized
continua, pantographic structures
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Mathematical Subject Classification 2010
Primary: 46G10, 74B20, 74Q05
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Milestones
Received: 4 April 2018
Revised: 1 October 2018
Accepted: 29 November 2018
Published: 22 April 2019
Communicated by Pierre Seppecher
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